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Trigonometric Functions

JEE Main 2026 (Online) 5th April Morning ShiftMCQRank Booster📈 Topic in 16% papers+4−1
Ques. 1JEE Main 2026, 5 April (Morning Shift)

Let A, B, where A, B (- 2, 2 ), be the roots of the quadratic equation x2-2x-5=0. Then 20 2 ( A+B2 ) is equal to :

  1. 10+ 10
  2. 10-2 10
  3. 10-3 10
  4. 10- 10

Answer

(3) 10-3 10

Solution

Here A + B = 2 and A B = -5, so

(A + B) = 21 - (-5) = 13

The roots are 1 6, so A = 1 + 6>0 and B = 1 - 6<0. Hence A (0, 2 ) and B (- 2, 0 ), which gives A + B (- 2, 2 ).

∵ (A + B) = 13>0, (A + B) = 3 10, and

20 2 ( A + B2 ) = 10 (1 - (A + B) )

∴ 20 2 ( A + B2 ) = 10 - 30 10 = 10 - 3 10

Answer: (3)

Keep practising — Trigonometric Functions

Ques. 2JEE Main 2026, 5 April (Morning Shift)

The sum of all the integral values of p such that the equation 3 2 x+12 x-3=p, x R, has at least one solution, is:

  1. -54
  2. -60
  3. -75
  4. -84
Ques. 3JEE Main 2026, 5 April (Evening Shift)

If S= \ [- , ] : . . 5 2= 7 7 2 \, then n(S) is equal to .

Ques. 4JEE Main 2026, 4 April (Morning Shift)

If A= 3 9 + 9 27 + 27 81 and B= 81 - 3 , then BA is equal to .

Ques. 5JEE Main 2026, 2 April (Morning Shift)

If ( 18 ) ( 5 18 ) ( 7 18 )=K, then the value of ( 10K 3 ) is :

  1. 3+12 2
  2. 3-1 2
  3. 32
  4. 12
Ques. 6JEE Main 2026, 2 April (Morning Shift)

Let S=\x [- , ] : x( x+ x)=a, a Z\. Then n(S) is equal to :

  1. 3
  2. 6
  3. 7
  4. 9
Ques. 7JEE Main 2026, 2 April (Evening Shift)

Let P=\ [0, 4 ] : 2 1\ and S=\a Z : 2( 8 - 8 ) 2 =a2, P\. Then n(S) is:

  1. 0
  2. 1
  3. 2
  4. 3
Ques. 8JEE Main 2026, 28 January (Morning Shift)

If (A - B) A + 2 C 2 A = 1, A, B, C (0, 2 ), then

  1. A, C, B are in A.P.
  2. A, C, B are in G.P.
  3. A, B, C are in G.P.
  4. A, B, C are in A.P.
Ques. 9JEE Main 2026, 28 January (Evening Shift)

The sum of all the elements in the range of f(x) = Sgn( x) + Sgn( x) + Sgn( x) + Sgn( x), x n 2, n Z, where Sgn(t) = cases 1, & if t > 0 \ -1, & if t < 0 cases is :

  1. 4
  2. 0
  3. 2
  4. -2
Ques. 10JEE Main 2026, 24 January (Morning Shift)

The value of 3 cosec 20 - 20 20 40 60 80 is equal to

  1. 32
  2. 64
  3. 12
  4. 16
Ques. 11JEE Main 2026, 24 January (Morning Shift)

If x = 512 for some x ( , 3 2 ), then 7x ( 13x2 + 13x2 ) + 7x ( 13x2 - 13x2 ) is equal to

  1. 5 13
  2. 6 26
  3. 4 26
  4. 1 13

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